3401465640 has 128 divisors (see below), whose sum is σ = 10414396800. Its totient is φ = 888504320.

The previous prime is 3401465629. The next prime is 3401465681. The reversal of 3401465640 is 465641043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2498560 + ... + 2499920.

It is an arithmetic number, because the mean of its divisors is an integer number (81362475).

Almost surely, 2^3401465640 is an apocalyptic number.

3401465640 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 3401465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207198400).

3401465640 is an abundant number, since it is smaller than the sum of its proper divisors (7012931160).

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

3401465640 is a wasteful number, since it uses less digits than its factorization.

3401465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3401465640 is about 58322.0853536634. The cubic root of 3401465640 is about 1503.9106313372.

The spelling of 3401465640 in words is "three billion, four hundred one million, four hundred sixty-five thousand, six hundred forty".