336406037880 has 512 divisors, whose sum is σ = 1146989445120. Its totient is φ = 78236928000.

The previous prime is 336406037857. The next prime is 336406037909. The reversal of 336406037880 is 88730604633.

It is a super-2 number, since 2×336406037880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685144435 + ... + 685144925.

It is an arithmetic number, because the mean of its divisors is an integer number (2240213760).

Almost surely, 2^336406037880 is an apocalyptic number.

336406037880 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 336406037880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573494722560).

336406037880 is an abundant number, since it is smaller than the sum of its proper divisors (810583407240).

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

336406037880 is a wasteful number, since it uses less digits than its factorization.

336406037880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 336406037880 in words is "three hundred thirty-six billion, four hundred six million, thirty-seven thousand, eight hundred eighty".