3700166400 has 1296 divisors, whose sum is σ = 17336390400. Its totient is φ = 766402560.

The previous prime is 3700166387. The next prime is 3700166443. The reversal of 3700166400 is 46610073.

3700166400 is a `hidden beast` number, since 3 + 7 + 0 + 0 + 16 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160876789 + ... + 160876811.

Almost surely, 2^3700166400 is an apocalyptic number.

3700166400 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 3700166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668195200).

3700166400 is an abundant number, since it is smaller than the sum of its proper divisors (13636224000).

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

3700166400 is a wasteful number, since it uses less digits than its factorization.

3700166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3700166400 is about 60828.9930871784. The cubic root of 3700166400 is about 1546.7035596960.

Adding to 3700166400 its reverse (46610073), we get a palindrome (3746776473).

The spelling of 3700166400 in words is "three billion, seven hundred million, one hundred sixty-six thousand, four hundred".