3412881936 has 120 divisors (see below), whose sum is σ = 9902580480. Its totient is φ = 1095967488.

The previous prime is 3412881929. The next prime is 3412881991. The reversal of 3412881936 is 6391882143.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3412881891 and 3412881900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3603415 + ... + 3604361.

It is an arithmetic number, because the mean of its divisors is an integer number (82521504).

Almost surely, 2^3412881936 is an apocalyptic number.

3412881936 is a gapful number since it is divisible by the number (36) 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 3412881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951290240).

3412881936 is an abundant number, since it is smaller than the sum of its proper divisors (6489698544).

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

3412881936 is a wasteful number, since it uses less digits than its factorization.

3412881936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1844 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3412881936 is about 58419.8762066473. The cubic root of 3412881936 is about 1505.5912712283.

The spelling of 3412881936 in words is "three billion, four hundred twelve million, eight hundred eighty-one thousand, nine hundred thirty-six".