3793428633600 has 2304 divisors, whose sum is σ = 15723793612800. Its totient is φ = 891813888000.

The previous prime is 3793428633557. The next prime is 3793428633613. The reversal of 3793428633600 is 63368243973.

3793428633600 is a `hidden beast` number, since 3 + 7 + 9 + 3 + 4 + 28 + 6 + 3 + 3 + 600 = 666.

3793428633600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29869516737 + ... + 29869516863.

It is an arithmetic number, because the mean of its divisors is an integer number (6824563200).

Almost surely, 2^{3793428633600} is an apocalyptic number.

3793428633600 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 3793428633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861896806400).

3793428633600 is an abundant number, since it is smaller than the sum of its proper divisors (11930364979200).

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

3793428633600 is a wasteful number, since it uses less digits than its factorization.

3793428633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 3793428633600 in words is "three trillion, seven hundred ninety-three billion, four hundred twenty-eight million, six hundred thirty-three thousand, six hundred".