3403760640 has 176 divisors, whose sum is σ = 12442353792. Its totient is φ = 777977856.

The previous prime is 3403760627. The next prime is 3403760651. The reversal of 3403760640 is 460673043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91692 + ... + 123348.

It is an arithmetic number, because the mean of its divisors is an integer number (70695192).

Almost surely, 2^3403760640 is an apocalyptic number.

3403760640 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 3403760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221176896).

3403760640 is an abundant number, since it is smaller than the sum of its proper divisors (9038593152).

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

3403760640 is a wasteful number, since it uses less digits than its factorization.

3403760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31692 (or 31674 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3403760640 is about 58341.7572584165. The cubic root of 3403760640 is about 1504.2487893851.

The spelling of 3403760640 in words is "three billion, four hundred three million, seven hundred sixty thousand, six hundred forty".