3774566400 has 312 divisors, whose sum is σ = 13626416544. Its totient is φ = 914227200.

The previous prime is 3774566399. The next prime is 3774566407. The reversal of 3774566400 is 46654773.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3774566407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3378642 + ... + 3379758.

It is an arithmetic number, because the mean of its divisors is an integer number (43674412).

Almost surely, 2^3774566400 is an apocalyptic number.

3774566400 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 3774566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813208272).

3774566400 is an abundant number, since it is smaller than the sum of its proper divisors (9851850144).

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

3774566400 is a wasteful number, since it uses less digits than its factorization.

3774566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3774566400 is about 61437.4999491353. The cubic root of 3774566400 is about 1557.0014722071.

The spelling of 3774566400 in words is "three billion, seven hundred seventy-four million, five hundred sixty-six thousand, four hundred".