3761438400 has 504 divisors, whose sum is σ = 14342144544. Its totient is φ = 932659200.

The previous prime is 3761438399. The next prime is 3761438419. The reversal of 3761438400 is 48341673.

3761438400 is a `hidden beast` number, since 3 + 7 + 614 + 38 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13579062 + ... + 13579338.

It is an arithmetic number, because the mean of its divisors is an integer number (28456636).

Almost surely, 2^3761438400 is an apocalyptic number.

3761438400 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 3761438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171072272).

3761438400 is an abundant number, since it is smaller than the sum of its proper divisors (10580706144).

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

3761438400 is a wasteful number, since it uses less digits than its factorization.

3761438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3761438400 is about 61330.5666042635. The cubic root of 3761438400 is about 1555.1942837518.

The spelling of 3761438400 in words is "three billion, seven hundred sixty-one million, four hundred thirty-eight thousand, four hundred".