3890598784800 has 1152 divisors, whose sum is σ = 15989076633600. Its totient is φ = 816509030400.

The previous prime is 3890598784739. The next prime is 3890598784811. The reversal of 3890598784800 is 84878950983.

It is a super-2 number, since 2×3890598784800² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 2258036739 + ... + 2258038461.

It is an arithmetic number, because the mean of its divisors is an integer number (13879406800).

Almost surely, 2^{3890598784800} is an apocalyptic number.

3890598784800 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 3890598784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994538316800).

3890598784800 is an abundant number, since it is smaller than the sum of its proper divisors (12098477848800).

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

3890598784800 is a wasteful number, since it uses less digits than its factorization.

3890598784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 3890598784800 in words is "three trillion, eight hundred ninety billion, five hundred ninety-eight million, seven hundred eighty-four thousand, eight hundred".