3676505400 has 144 divisors (see below), whose sum is σ = 12390847560. Its totient is φ = 976915200.

The previous prime is 3676505321. The next prime is 3676505401. The reversal of 3676505400 is 45056763.

3676505400 is a `hidden beast` number, since 3 + 67 + 6 + 50 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676505401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523915 + ... + 530885.

Almost surely, 2^3676505400 is an apocalyptic number.

3676505400 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 3676505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195423780).

3676505400 is an abundant number, since it is smaller than the sum of its proper divisors (8714342160).

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

3676505400 is a wasteful number, since it uses less digits than its factorization.

3676505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3676505400 is about 60634.1933235695. The cubic root of 3676505400 is about 1543.3996688467.

The spelling of 3676505400 in words is "three billion, six hundred seventy-six million, five hundred five thousand, four hundred".