3698822400 has 864 divisors, whose sum is σ = 15754824960. Its totient is φ = 743178240.

The previous prime is 3698822341. The next prime is 3698822411. The reversal of 3698822400 is 42288963.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50668764 + ... + 50668836.

Almost surely, 2^3698822400 is an apocalyptic number.

3698822400 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 3698822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877412480).

3698822400 is an abundant number, since it is smaller than the sum of its proper divisors (12056002560).

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

3698822400 is a wasteful number, since it uses less digits than its factorization.

3698822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3698822400 is about 60817.9447202879. The cubic root of 3698822400 is about 1546.5162689007.

The spelling of 3698822400 in words is "three billion, six hundred ninety-eight million, eight hundred twenty-two thousand, four hundred".