3801369600 has 396 divisors, whose sum is σ = 15561687024. Its totient is φ = 868515840.

The previous prime is 3801369589. The next prime is 3801369613. The reversal of 3801369600 is 69631083.

It is a happy number.

3801369600 is a `hidden beast` number, since 38 + 0 + 13 + 6 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1611622 + ... + 1613978.

Almost surely, 2^3801369600 is an apocalyptic number.

3801369600 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 3801369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780843512).

3801369600 is an abundant number, since it is smaller than the sum of its proper divisors (11760317424).

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

3801369600 is a wasteful number, since it uses less digits than its factorization.

3801369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3801369600 is about 61655.2479518167. The cubic root of 3801369600 is about 1560.6782060951.

The spelling of 3801369600 in words is "three billion, eight hundred one million, three hundred sixty-nine thousand, six hundred".