3856956480000 has 1600 divisors, whose sum is σ = 16042665703680. Its totient is φ = 907517952000.

The previous prime is 3856956479983. The next prime is 3856956480049. The reversal of 3856956480000 is 846596583.

It is a happy number.

3856956480000 is a `hidden beast` number, since 38 + 569 + 5 + 6 + 48 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×3856956480000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2583359254 + ... + 2583360746.

Almost surely, 2^{3856956480000} is an apocalyptic number.

3856956480000 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 3856956480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8021332851840).

3856956480000 is an abundant number, since it is smaller than the sum of its proper divisors (12185709223680).

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

3856956480000 is a wasteful number, since it uses less digits than its factorization.

3856956480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3856956480000 in words is "three trillion, eight hundred fifty-six billion, nine hundred fifty-six million, four hundred eighty thousand".