3764993400 has 1008 divisors, whose sum is σ = 16686699840. Its totient is φ = 783820800.

The previous prime is 3764993399. The next prime is 3764993443. The reversal of 3764993400 is 43994673.

3764993400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 121451385 + ... + 121451415.

Almost surely, 2^3764993400 is an apocalyptic number.

3764993400 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 3764993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343349920).

3764993400 is an abundant number, since it is smaller than the sum of its proper divisors (12921706440).

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

3764993400 is a wasteful number, since it uses less digits than its factorization.

3764993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3764993400 is about 61359.5420452272. The cubic root of 3764993400 is about 1555.6840764183.

The spelling of 3764993400 in words is "three billion, seven hundred sixty-four million, nine hundred ninety-three thousand, four hundred".