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3870935040 = 21135747383
BaseRepresentation
bin1110011010111001…
…1100100000000000
3100222202211212121110
43212232130200000
530411424410130
61440035323320
7164632255620
oct34656344000
910882755543
103870935040
111707050875
12900450540
13498c7270b
1428a158880
15179c7dab0
hexe6b9c800

3870935040 has 384 divisors, whose sum is σ = 14491975680. Its totient is φ = 863698944.

The previous prime is 3870935021. The next prime is 3870935077. The reversal of 3870935040 is 405390783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3870935040.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10106689 + ... + 10107071.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 23870935040 is an apocalyptic number.

3870935040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245987840).

3870935040 is an abundant number, since it is smaller than the sum of its proper divisors (10621040640).

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

3870935040 is a wasteful number, since it uses less digits than its factorization.

3870935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 3870935040 is about 62216.8388782330. The cubic root of 3870935040 is about 1570.1409044971.

The spelling of 3870935040 in words is "three billion, eight hundred seventy million, nine hundred thirty-five thousand, forty".