3413583090 has 48 divisors (see below), whose sum is σ = 8886241728. Its totient is φ = 909168288.

The previous prime is 3413583083. The next prime is 3413583091. The reversal of 3413583090 is 903853143.

3413583090 is a `hidden beast` number, since 341 + 3 + 5 + 8 + 309 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (3413583091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51499 + ... + 97361.

It is an arithmetic number, because the mean of its divisors is an integer number (185130036).

Almost surely, 2^3413583090 is an apocalyptic number.

3413583090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3413583090 is an abundant number, since it is smaller than the sum of its proper divisors (5472658638).

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

3413583090 is a wasteful number, since it uses less digits than its factorization.

3413583090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46703 (or 46700 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3413583090 is about 58425.8768868727. The cubic root of 3413583090 is about 1505.6943687549.

The spelling of 3413583090 in words is "three billion, four hundred thirteen million, five hundred eighty-three thousand, ninety".