3890481957600 has 144 divisors (see below), whose sum is σ = 14472592944768. Its totient is φ = 889253015040.

The previous prime is 3890481957599. The next prime is 3890481957601. The reversal of 3890481957600 is 67591840983.

It is an interprime number because it is at equal distance from previous prime (3890481957599) and next prime (3890481957601).

It is a super-2 number, since 2×3890481957600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890481957601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115771354 + ... + 115804953.

It is an arithmetic number, because the mean of its divisors is an integer number (100504117672).

Almost surely, 2^{3890481957600} is an apocalyptic number.

3890481957600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3890481957600 is an abundant number, since it is smaller than the sum of its proper divisors (10582110987168).

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

3890481957600 is a wasteful number, since it uses less digits than its factorization.

3890481957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231576337 (or 231576324 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 3890481957600 in words is "three trillion, eight hundred ninety billion, four hundred eighty-one million, nine hundred fifty-seven thousand, six hundred".