3883372953600 has 720 divisors, whose sum is σ = 14744206310400. Its totient is φ = 883446251520.

The previous prime is 3883372953583. The next prime is 3883372953617. The reversal of 3883372953600 is 63592733883.

It is an interprime number because it is at equal distance from previous prime (3883372953583) and next prime (3883372953617).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2055781456 + ... + 2055783344.

It is an arithmetic number, because the mean of its divisors is an integer number (20478064320).

Almost surely, 2^{3883372953600} is an apocalyptic number.

3883372953600 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 3883372953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372103155200).

3883372953600 is an abundant number, since it is smaller than the sum of its proper divisors (10860833356800).

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

3883372953600 is a wasteful number, since it uses less digits than its factorization.

3883372953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 3883372953600 in words is "three trillion, eight hundred eighty-three billion, three hundred seventy-two million, nine hundred fifty-three thousand, six hundred".