3413577504 has 48 divisors (see below), whose sum is σ = 8983312128. Its totient is φ = 1134980352.

The previous prime is 3413577491. The next prime is 3413577511. The reversal of 3413577504 is 4057753143.

3413577504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3413577504² = 23305022751629740032, which contains 22 as substring.

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, 6672 + ... + 82895.

It is an arithmetic number, because the mean of its divisors is an integer number (187152336).

Almost surely, 2^3413577504 is an apocalyptic number.

It is an amenable number.

3413577504 is an abundant number, since it is smaller than the sum of its proper divisors (5569734624).

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

3413577504 is a wasteful number, since it uses less digits than its factorization.

3413577504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89977 (or 89969 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 3413577504 is about 58425.8290826925. The cubic root of 3413577504 is about 1505.6935474465.

The spelling of 3413577504 in words is "three billion, four hundred thirteen million, five hundred seventy-seven thousand, five hundred four".