3461157846720 has 896 divisors, whose sum is σ = 14545317396480. Its totient is φ = 758126407680.

The previous prime is 3461157846701. The next prime is 3461157846737. The reversal of 3461157846720 is 276487511643.

3461157846720 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 1 + 578 + 4 + 67 + 2 + 0 = 666.

It is a super-2 number, since 2×3461157846720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193103679 + ... + 193121601.

Almost surely, 2^{3461157846720} is an apocalyptic number.

3461157846720 is a gapful number since it is divisible by the number (30) 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 3461157846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272658698240).

3461157846720 is an abundant number, since it is smaller than the sum of its proper divisors (11084159549760).

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

3461157846720 is a wasteful number, since it uses less digits than its factorization.

3461157846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18090 (or 18074 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3461157846720 in words is "three trillion, four hundred sixty-one billion, one hundred fifty-seven million, eight hundred forty-six thousand, seven hundred twenty".