3875424537600 has 792 divisors, whose sum is σ = 17299844310528. Its totient is φ = 805279334400.

The previous prime is 3875424537583. The next prime is 3875424537601. The reversal of 3875424537600 is 67354245783.

It is a happy number.

3875424537600 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 4 + 24 + 5 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (3875424537601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17631577 + ... + 17850023.

Almost surely, 2^{3875424537600} is an apocalyptic number.

3875424537600 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 3875424537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649922155264).

3875424537600 is an abundant number, since it is smaller than the sum of its proper divisors (13424419772928).

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

3875424537600 is a wasteful number, since it uses less digits than its factorization.

3875424537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218501 (or 218475 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3875424537600 in words is "three trillion, eight hundred seventy-five billion, four hundred twenty-four million, five hundred thirty-seven thousand, six hundred".