3625961860800 has 126 divisors (see below), whose sum is σ = 12887524634348. Its totient is φ = 966923159040.

The previous prime is 3625961860789. The next prime is 3625961860811. The reversal of 3625961860800 is 80681695263.

It is a happy number.

3625961860800 is a `hidden beast` number, since 3 + 6 + 25 + 9 + 6 + 1 + 8 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3625961860789) and next prime (3625961860811).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125887054 + ... + 125915853.

Almost surely, 2^{3625961860800} is an apocalyptic number.

3625961860800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3625961860800 is an abundant number, since it is smaller than the sum of its proper divisors (9261562773548).

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

3625961860800 is a wasteful number, since it uses less digits than its factorization.

3625961860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251802935 (or 251802917 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3625961860800 in words is "three trillion, six hundred twenty-five billion, nine hundred sixty-one million, eight hundred sixty thousand, eight hundred".