3461013540 has 72 divisors (see below), whose sum is σ = 10512797568. Its totient is φ = 921672000.

The previous prime is 3461013529. The next prime is 3461013551. The reversal of 3461013540 is 453101643.

3461013540 is a `hidden beast` number, since 3 + 4 + 610 + 1 + 3 + 5 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3461013529) and next prime (3461013551).

It is a super-2 number, since 2×3461013540² = 23957229448126663200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122379 + ... + 147981.

Almost surely, 2^3461013540 is an apocalyptic number.

3461013540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3461013540 is an abundant number, since it is smaller than the sum of its proper divisors (7051784028).

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

3461013540 is a wasteful number, since it uses less digits than its factorization.

3461013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26369 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3461013540 is about 58830.3793970428. The cubic root of 3461013540 is about 1512.6360020682.

The spelling of 3461013540 in words is "three billion, four hundred sixty-one million, thirteen thousand, five hundred forty".