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3876012801 = 321723153907
BaseRepresentation
bin1110011100000111…
…0100001100000001
3101000010101211222200
43213001310030001
530414224402201
61440340223413
7165023364603
oct34701641401
911003354880
103876012801
1117099a9871
1290209ab69
1349a02c9cb
1428aabb173
1517a433386
hexe7074301

3876012801 has 72 divisors (see below), whose sum is σ = 6261974784. Its totient is φ = 2306603520.

The previous prime is 3876012799. The next prime is 3876012821. The reversal of 3876012801 is 1082106783.

It is not a de Polignac number, because 3876012801 - 21 = 3876012799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3876012821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4272990 + ... + 4273896.

It is an arithmetic number, because the mean of its divisors is an integer number (86971872).

Almost surely, 23876012801 is an apocalyptic number.

3876012801 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3876012801 is a deficient number, since it is larger than the sum of its proper divisors (2385961983).

3876012801 is a wasteful number, since it uses less digits than its factorization.

3876012801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3876012801 is about 62257.6324718504. The cubic root of 3876012801 is about 1570.8271570050.

The spelling of 3876012801 in words is "three billion, eight hundred seventy-six million, twelve thousand, eight hundred one".

Divisors: 1 3 9 17 31 51 53 93 153 159 279 289 477 527 867 901 907 1581 1643 2601 2703 2721 4743 4929 8109 8163 8959 14787 15317 15419 26877 27931 28117 45951 46257 48071 80631 83793 84351 137853 138771 144213 251379 253053 262123 432639 474827 477989 786369 817207 1424481 1433967 1490201 2359107 2451621 4273443 4301901 4470603 7354863 8125813 13411809 13892519 24377439 25333417 41677557 73132317 76000251 125032671 228000753 430668089 1292004267 3876012801