398000736 has 384 divisors, whose sum is σ = 1451520000. Its totient is φ = 105670656.

The previous prime is 398000693. The next prime is 398000741. The reversal of 398000736 is 637000893.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 398000736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5037945 + ... + 5038023.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^398000736 is an apocalyptic number.

398000736 is a gapful number since it is divisible by the number (36) 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 398000736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

398000736 is an abundant number, since it is smaller than the sum of its proper divisors (1053519264).

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

398000736 is a wasteful number, since it uses less digits than its factorization.

398000736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 398000736 is about 19949.9557894247. The cubic root of 398000736 is about 735.5766902604.

The spelling of 398000736 in words is "three hundred ninety-eight million, seven hundred thirty-six", and thus it is an aban number.