3418374960 has 1600 divisors, whose sum is σ = 17422884864. Its totient is φ = 597196800.

The previous prime is 3418374899. The next prime is 3418375007. The reversal of 3418374960 is 694738143.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110270145 + ... + 110270175.

Almost surely, 2^3418374960 is an apocalyptic number.

3418374960 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 3418374960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711442432).

3418374960 is an abundant number, since it is smaller than the sum of its proper divisors (14004509904).

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

3418374960 is a wasteful number, since it uses less digits than its factorization.

3418374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3418374960 is about 58466.8706191806. The cubic root of 3418374960 is about 1506.3985865827.

The spelling of 3418374960 in words is "three billion, four hundred eighteen million, three hundred seventy-four thousand, nine hundred sixty".