3773296800 has 648 divisors, whose sum is σ = 16503256224. Its totient is φ = 794327040.

The previous prime is 3773296739. The next prime is 3773296823. The reversal of 3773296800 is 86923773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8517379 + ... + 8517821.

It is an arithmetic number, because the mean of its divisors is an integer number (25467988).

Almost surely, 2^3773296800 is an apocalyptic number.

3773296800 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 3773296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251628112).

3773296800 is an abundant number, since it is smaller than the sum of its proper divisors (12729959424).

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

3773296800 is a wasteful number, since it uses less digits than its factorization.

3773296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3773296800 is about 61427.1666284552. The cubic root of 3773296800 is about 1556.8268834346.

The spelling of 3773296800 in words is "three billion, seven hundred seventy-three million, two hundred ninety-six thousand, eight hundred".