3676844400 has 240 divisors, whose sum is σ = 12421347840. Its totient is φ = 927872000.

The previous prime is 3676844393. The next prime is 3676844417. The reversal of 3676844400 is 44486763.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3676844400² = 27038369483622720000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 2786941 + ... + 2788259.

It is an arithmetic number, because the mean of its divisors is an integer number (51755616).

Almost surely, 2^3676844400 is an apocalyptic number.

3676844400 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 3676844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210673920).

3676844400 is an abundant number, since it is smaller than the sum of its proper divisors (8744503440).

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

3676844400 is a wasteful number, since it uses less digits than its factorization.

3676844400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3676844400 is about 60636.9887115117. The cubic root of 3676844400 is about 1543.4471048718.

The spelling of 3676844400 in words is "three billion, six hundred seventy-six million, eight hundred forty-four thousand, four hundred".