3420276965280 has 768 divisors, whose sum is σ = 14695188480000. Its totient is φ = 740625306624.

The previous prime is 3420276965257. The next prime is 3420276965309. The reversal of 3420276965280 is 825696720243.

3420276965280 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 27 + 6 + 96 + 528 + 0 = 666.

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, 28092697 + ... + 28214183.

It is an arithmetic number, because the mean of its divisors is an integer number (19134360000).

Almost surely, 2^{3420276965280} is an apocalyptic number.

3420276965280 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 3420276965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7347594240000).

3420276965280 is an abundant number, since it is smaller than the sum of its proper divisors (11274911514720).

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

3420276965280 is a wasteful number, since it uses less digits than its factorization.

3420276965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121551 (or 121523 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3420276965280 in words is "three trillion, four hundred twenty billion, two hundred seventy-six million, nine hundred sixty-five thousand, two hundred eighty".