3407740032 has 96 divisors (see below), whose sum is σ = 9615903120. Its totient is φ = 1069060096.

The previous prime is 3407740019. The next prime is 3407740057. The reversal of 3407740032 is 2300477043.

3407740032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3407740032² = 23225384251390722048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95623 + ... + 126329.

Almost surely, 2^3407740032 is an apocalyptic number.

3407740032 is a gapful number since it is divisible by the number (32) 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 3407740032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807951560).

3407740032 is an abundant number, since it is smaller than the sum of its proper divisors (6208163088).

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

3407740032 is a wasteful number, since it uses less digits than its factorization.

3407740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30758 (or 30729 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 3407740032 is about 58375.8514456106. The cubic root of 3407740032 is about 1504.8347750022.

The spelling of 3407740032 in words is "three billion, four hundred seven million, seven hundred forty thousand, thirty-two".