3514417920 has 432 divisors, whose sum is σ = 13535139072. Its totient is φ = 836075520.

The previous prime is 3514417913. The next prime is 3514417931. The reversal of 3514417920 is 297144153.

It is a super-2 number, since 2×3514417920² = 24702266632834252800, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 4642182 + ... + 4642938.

Almost surely, 2^3514417920 is an apocalyptic number.

3514417920 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 3514417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767569536).

3514417920 is an abundant number, since it is smaller than the sum of its proper divisors (10020721152).

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

3514417920 is a wasteful number, since it uses less digits than its factorization.

3514417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3514417920 is about 59282.5262619602. The cubic root of 3514417920 is about 1520.3764533871.

The spelling of 3514417920 in words is "three billion, five hundred fourteen million, four hundred seventeen thousand, nine hundred twenty".