3414599972 has 48 divisors (see below), whose sum is σ = 7210721280. Its totient is φ = 1382119200.

The previous prime is 3414599971. The next prime is 3414599999. The reversal of 3414599972 is 2799954143.

It is not an unprimeable number, because it can be changed into a prime (3414599971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166397 + ... + 185787.

It is an arithmetic number, because the mean of its divisors is an integer number (150223360).

Almost surely, 2^3414599972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414599972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605360640).

3414599972 is an abundant number, since it is smaller than the sum of its proper divisors (3796121308).

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

3414599972 is a wasteful number, since it uses less digits than its factorization.

3414599972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19752 (or 19750 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 53.

The square root of 3414599972 is about 58434.5785644082. The cubic root of 3414599972 is about 1505.8438657741.

The spelling of 3414599972 in words is "three billion, four hundred fourteen million, five hundred ninety-nine thousand, nine hundred seventy-two".