3740774400 has 780 divisors, whose sum is σ = 15485118264. Its totient is φ = 884736000.

The previous prime is 3740774383. The next prime is 3740774413. The reversal of 3740774400 is 44770473.

3740774400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3740774400² = 27986786223390720000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 91238380 + ... + 91238420.

Almost surely, 2^3740774400 is an apocalyptic number.

3740774400 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 3740774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742559132).

3740774400 is an abundant number, since it is smaller than the sum of its proper divisors (11744343864).

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

3740774400 is a wasteful number, since it uses less digits than its factorization.

3740774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 3740774400 is about 61161.8704749945. The cubic root of 3740774400 is about 1552.3411585722.

The spelling of 3740774400 in words is "three billion, seven hundred forty million, seven hundred seventy-four thousand, four hundred".