3774297600 has 480 divisors, whose sum is σ = 14146535040. Its totient is φ = 985374720.

The previous prime is 3774297589. The next prime is 3774297643. The reversal of 3774297600 is 67924773.

It is a happy number.

3774297600 is a `hidden beast` number, since 37 + 7 + 4 + 2 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 23155119 + ... + 23155281.

It is an arithmetic number, because the mean of its divisors is an integer number (29471948).

Almost surely, 2^3774297600 is an apocalyptic number.

3774297600 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 3774297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073267520).

3774297600 is an abundant number, since it is smaller than the sum of its proper divisors (10372237440).

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

3774297600 is a wasteful number, since it uses less digits than its factorization.

3774297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3774297600 is about 61435.3123211724. The cubic root of 3774297600 is about 1556.9645114999.

The spelling of 3774297600 in words is "three billion, seven hundred seventy-four million, two hundred ninety-seven thousand, six hundred".