3400133376 has 72 divisors (see below), whose sum is σ = 9089300080. Its totient is φ = 1128370176.

The previous prime is 3400133357. The next prime is 3400133381. The reversal of 3400133376 is 6733310043.

It is a super-3 number, since 3×3400133376³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166206 + ... + 185538.

Almost surely, 2^3400133376 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 3400133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544650040).

3400133376 is an abundant number, since it is smaller than the sum of its proper divisors (5689166704).

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

3400133376 is a wasteful number, since it uses less digits than its factorization.

3400133376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19581 (or 19567 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 3400133376 is about 58310.6626270016. The cubic root of 3400133376 is about 1503.7142583763.

The spelling of 3400133376 in words is "three billion, four hundred million, one hundred thirty-three thousand, three hundred seventy-six".