3461892672 has 112 divisors (see below), whose sum is σ = 10483088000. Its totient is φ = 987697152.

The previous prime is 3461892653. The next prime is 3461892691. The reversal of 3461892672 is 2762981643.

It is an interprime number because it is at equal distance from previous prime (3461892653) and next prime (3461892691).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1257954 + ... + 1260702.

It is an arithmetic number, because the mean of its divisors is an integer number (93599000).

Almost surely, 2^3461892672 is an apocalyptic number.

3461892672 is a gapful number since it is divisible by the number (32) 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 3461892672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241544000).

3461892672 is an abundant number, since it is smaller than the sum of its proper divisors (7021195328).

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

3461892672 is a wasteful number, since it uses less digits than its factorization.

3461892672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3698 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 3461892672 is about 58837.8506745445. The cubic root of 3461892672 is about 1512.7640661088.

The spelling of 3461892672 in words is "three billion, four hundred sixty-one million, eight hundred ninety-two thousand, six hundred seventy-two".