3401459136 has 112 divisors (see below), whose sum is σ = 10270114080. Its totient is φ = 1103155200.

The previous prime is 3401459129. The next prime is 3401459141. The reversal of 3401459136 is 6319541043.

3401459136 is a `hidden beast` number, since 34 + 0 + 1 + 4 + 591 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3401459136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37336 + ... + 90536.

Almost surely, 2^3401459136 is an apocalyptic number.

3401459136 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 3401459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135057040).

3401459136 is an abundant number, since it is smaller than the sum of its proper divisors (6868654944).

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

3401459136 is a wasteful number, since it uses less digits than its factorization.

3401459136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53259 (or 53243 counting only the distinct ones).

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

The square root of 3401459136 is about 58322.0295943137. The cubic root of 3401459136 is about 1503.9096727856.

It can be divided in two parts, 340145 and 9136, that added together give a square (349281 = 591²).

The spelling of 3401459136 in words is "three billion, four hundred one million, four hundred fifty-nine thousand, one hundred thirty-six".