334449093888 has 648 divisors, whose sum is σ = 1247161284096. Its totient is φ = 85349376000.

The previous prime is 334449093841. The next prime is 334449093983. The reversal of 334449093888 is 888390944433.

334449093888 is a `hidden beast` number, since 3 + 34 + 4 + 490 + 9 + 38 + 88 = 666.

It is a super-2 number, since 2×334449093888² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45493413 + ... + 45500763.

Almost surely, 2^334449093888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334449093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623580642048).

334449093888 is an abundant number, since it is smaller than the sum of its proper divisors (912712190208).

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

334449093888 is a wasteful number, since it uses less digits than its factorization.

334449093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 334449093888 in words is "three hundred thirty-four billion, four hundred forty-nine million, ninety-three thousand, eight hundred eighty-eight".