3461280768000 has 1792 divisors, whose sum is σ = 14721108480000. Its totient is φ = 793608192000.

The previous prime is 3461280767977. The next prime is 3461280768031. The reversal of 3461280768000 is 8670821643.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5778431701 + ... + 5778432299.

Almost surely, 2^{3461280768000} is an apocalyptic number.

3461280768000 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 3461280768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240000).

3461280768000 is an abundant number, since it is smaller than the sum of its proper divisors (11259827712000).

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

3461280768000 is a wasteful number, since it uses less digits than its factorization.

3461280768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3461280768000 in words is "three trillion, four hundred sixty-one billion, two hundred eighty million, seven hundred sixty-eight thousand".