3856343040 has 448 divisors, whose sum is σ = 15004206720. Its totient is φ = 931921920.

The previous prime is 3856343039. The next prime is 3856343069. The reversal of 3856343040 is 403436583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3856342986 and 3856343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12164962 + ... + 12165278.

Almost surely, 2^3856343040 is an apocalyptic number.

3856343040 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 3856343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502103360).

3856343040 is an abundant number, since it is smaller than the sum of its proper divisors (11147863680).

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

3856343040 is a wasteful number, since it uses less digits than its factorization.

3856343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3856343040 is about 62099.4608672249. The cubic root of 3856343040 is about 1568.1654691404.

The spelling of 3856343040 in words is "three billion, eight hundred fifty-six million, three hundred forty-three thousand, forty".