336404640 has 384 divisors, whose sum is σ = 1295481600. Its totient is φ = 72683520.

The previous prime is 336404623. The next prime is 336404711. The reversal of 336404640 is 46404633.

It is a super-2 number, since 2×336404640² = 226336163627059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 336404598 and 336404607.

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, 11600146 + ... + 11600174.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^336404640 is an apocalyptic number.

336404640 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 336404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647740800).

336404640 is an abundant number, since it is smaller than the sum of its proper divisors (959076960).

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

336404640 is a wasteful number, since it uses less digits than its factorization.

336404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 336404640 is about 18341.3369196468. The cubic root of 336404640 is about 695.4842923055.

The spelling of 336404640 in words is "three hundred thirty-six million, four hundred four thousand, six hundred forty".