3461492736 has 312 divisors, whose sum is σ = 11162825856. Its totient is φ = 1026293760.

The previous prime is 3461492731. The next prime is 3461492813. The reversal of 3461492736 is 6372941643.

3461492736 is a `hidden beast` number, since 3 + 4 + 614 + 9 + 27 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×3461492736² = 23963863922761531392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3461492691 and 3461492700.

It is not an unprimeable number, because it can be changed into a prime (3461492731) 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, 14856076 + ... + 14856308.

It is an arithmetic number, because the mean of its divisors is an integer number (35778288).

Almost surely, 2^3461492736 is an apocalyptic number.

3461492736 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 3461492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581412928).

3461492736 is an abundant number, since it is smaller than the sum of its proper divisors (7701333120).

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

3461492736 is a wasteful number, since it uses less digits than its factorization.

3461492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3461492736 is about 58834.4519478171. The cubic root of 3461492736 is about 1512.7058097188.

The spelling of 3461492736 in words is "three billion, four hundred sixty-one million, four hundred ninety-two thousand, seven hundred thirty-six".