3698676800 has 504 divisors, whose sum is σ = 12064227840. Its totient is φ = 1103155200.

The previous prime is 3698676799. The next prime is 3698676823. The reversal of 3698676800 is 86768963.

It is a nialpdrome in base 16.

It is a congruent number.

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, 19364705 + ... + 19364895.

It is an arithmetic number, because the mean of its divisors is an integer number (23936960).

Almost surely, 2^3698676800 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 3698676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

3698676800 is an abundant number, since it is smaller than the sum of its proper divisors (8365551040).

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

3698676800 is a wasteful number, since it uses less digits than its factorization.

3698676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 3698676800 is about 60816.7476933780. The cubic root of 3698676800 is about 1546.4959763410.

The spelling of 3698676800 in words is "three billion, six hundred ninety-eight million, six hundred seventy-six thousand, eight hundred".