3354091130880 has 624 divisors, whose sum is σ = 13779220500864. Its totient is φ = 766641438720.

The previous prime is 3354091130851. The next prime is 3354091130903. The reversal of 3354091130880 is 880311904533.

3354091130880 is a `hidden beast` number, since 3 + 3 + 540 + 91 + 13 + 0 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3354091130880² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34788340 + ... + 34884620.

It is an arithmetic number, because the mean of its divisors is an integer number (22082084136).

Almost surely, 2^{3354091130880} is an apocalyptic number.

3354091130880 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 3354091130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889610250432).

3354091130880 is an abundant number, since it is smaller than the sum of its proper divisors (10425129369984).

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

3354091130880 is an frugal number, since it uses more digits than its factorization.

3354091130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96332 (or 96298 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3354091130880 in words is "three trillion, three hundred fifty-four billion, ninety-one million, one hundred thirty thousand, eight hundred eighty".