3438612512 has 48 divisors (see below), whose sum is σ = 6895990080. Its totient is φ = 1687348992.

The previous prime is 3438612509. The next prime is 3438612521. The reversal of 3438612512 is 2152168343.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1552718 + ... + 1554930.

It is an arithmetic number, because the mean of its divisors is an integer number (143666460).

Almost surely, 2^3438612512 is an apocalyptic number.

3438612512 is a gapful number since it is divisible by the number (32) 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 3438612512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447995040).

3438612512 is an abundant number, since it is smaller than the sum of its proper divisors (3457377568).

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

3438612512 is a wasteful number, since it uses less digits than its factorization.

3438612512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3097 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 3438612512 is about 58639.6837644952. The cubic root of 3438612512 is about 1509.3654793507.

The spelling of 3438612512 in words is "three billion, four hundred thirty-eight million, six hundred twelve thousand, five hundred twelve".