3676492800 has 462 divisors, whose sum is σ = 13732983198. Its totient is φ = 975421440.

The previous prime is 3676492789. The next prime is 3676492823. The reversal of 3676492800 is 82946763.

3676492800 is a `hidden beast` number, since 367 + 6 + 4 + 9 + 280 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1077940224 + 2598552576 = 32832^2 + 50976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18662302 + ... + 18662498.

Almost surely, 2^3676492800 is an apocalyptic number.

3676492800 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 3676492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866491599).

3676492800 is an abundant number, since it is smaller than the sum of its proper divisors (10056490398).

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

3676492800 is an equidigital number, since it uses as much as digits as its factorization.

3676492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3676492800 is about 60634.0894217106. The cubic root of 3676492800 is about 1543.3979056816.

The spelling of 3676492800 in words is "three billion, six hundred seventy-six million, four hundred ninety-two thousand, eight hundred".