3414942720 has 352 divisors, whose sum is σ = 13873747200. Its totient is φ = 780337152.

The previous prime is 3414942719. The next prime is 3414942743. The reversal of 3414942720 is 272494143.

3414942720 is a `hidden beast` number, since 341 + 49 + 4 + 272 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965916 + ... + 969444.

Almost surely, 2^3414942720 is an apocalyptic number.

3414942720 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 3414942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936873600).

3414942720 is an abundant number, since it is smaller than the sum of its proper divisors (10458804480).

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

3414942720 is a wasteful number, since it uses less digits than its factorization.

3414942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3414942720 is about 58437.5112406406. The cubic root of 3414942720 is about 1505.8942482210.

The spelling of 3414942720 in words is "three billion, four hundred fourteen million, nine hundred forty-two thousand, seven hundred twenty".