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3676786344 = 23357211329
BaseRepresentation
bin1101101100100111…
…0100111010101000
3100111020112002200000
43123021310322220
530012224130334
61404502143000
7160054111500
oct33311647250
910436462600
103676786344
1116174a5000
12867421a60
1346798682a
1426c45aa00
15167bcd299
hexdb274ea8

3676786344 has 576 divisors, whose sum is σ = 13668782400. Its totient is φ = 922078080.

The previous prime is 3676786303. The next prime is 3676786357. The reversal of 3676786344 is 4436876763.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126785722 + ... + 126785750.

It is an arithmetic number, because the mean of its divisors is an integer number (23730525).

Almost surely, 23676786344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676786344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834391200).

3676786344 is an abundant number, since it is smaller than the sum of its proper divisors (9991996056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3676786344 is a wasteful number, since it uses less digits than its factorization.

3676786344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The square root of 3676786344 is about 60636.5099919182. The cubic root of 3676786344 is about 1543.4389813446.

The spelling of 3676786344 in words is "three billion, six hundred seventy-six million, seven hundred eighty-six thousand, three hundred forty-four".