3674937600 has 648 divisors, whose sum is σ = 14530632480. Its totient is φ = 915701760.

The previous prime is 3674937593. The next prime is 3674937613. The reversal of 3674937600 is 67394763.

3674937600 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 9 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 26438331 + ... + 26438469.

Almost surely, 2^3674937600 is an apocalyptic number.

3674937600 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 3674937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265316240).

3674937600 is an abundant number, since it is smaller than the sum of its proper divisors (10855694880).

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

3674937600 is a wasteful number, since it uses less digits than its factorization.

3674937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3674937600 is about 60621.2635962003. The cubic root of 3674937600 is about 1543.1802497902.

The spelling of 3674937600 in words is "three billion, six hundred seventy-four million, nine hundred thirty-seven thousand, six hundred".