3412107504 has 400 divisors, whose sum is σ = 11292610560. Its totient is φ = 987240960.

The previous prime is 3412107497. The next prime is 3412107509. The reversal of 3412107504 is 4057012143.

3412107504 is a `hidden beast` number, since 34 + 121 + 0 + 7 + 504 = 666.

It is a super-2 number, since 2×3412107504² = 23284955237706220032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412107509) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 24547467 + ... + 24547605.

Almost surely, 2^3412107504 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 3412107504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646305280).

3412107504 is an abundant number, since it is smaller than the sum of its proper divisors (7880503056).

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

3412107504 is a wasteful number, since it uses less digits than its factorization.

3412107504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3412107504 is about 58413.2476755059. The cubic root of 3412107504 is about 1505.4773825086.

Adding to 3412107504 its reverse (4057012143), we get a palindrome (7469119647).

The spelling of 3412107504 in words is "three billion, four hundred twelve million, one hundred seven thousand, five hundred four".