3674658400 has 144 divisors (see below), whose sum is σ = 10314277344. Its totient is φ = 1252270080.

The previous prime is 3674658389. The next prime is 3674658401. The reversal of 3674658400 is 48564763.

It is a super-2 number, since 2×3674658400² = 27006228713381120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674658401) 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, 966904 + ... + 970696.

It is an arithmetic number, because the mean of its divisors is an integer number (71626926).

Almost surely, 2^3674658400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157138672).

3674658400 is an abundant number, since it is smaller than the sum of its proper divisors (6639618944).

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

3674658400 is a wasteful number, since it uses less digits than its factorization.

3674658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 3674658400 is about 60618.9607301214. The cubic root of 3674658400 is about 1543.1411682343.

The spelling of 3674658400 in words is "three billion, six hundred seventy-four million, six hundred fifty-eight thousand, four hundred".