3480787036800 has 1536 divisors, whose sum is σ = 13947607296000. Its totient is φ = 845365248000.

The previous prime is 3480787036787. The next prime is 3480787036801. The reversal of 3480787036800 is 86307870843.

3480787036800 is a `hidden beast` number, since 3 + 480 + 7 + 87 + 0 + 3 + 6 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3480787036801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3184617054 + ... + 3184618146.

It is an arithmetic number, because the mean of its divisors is an integer number (9080473500).

Almost surely, 2^{3480787036800} is an apocalyptic number.

3480787036800 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 3480787036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973803648000).

3480787036800 is an abundant number, since it is smaller than the sum of its proper divisors (10466820259200).

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

3480787036800 is a wasteful number, since it uses less digits than its factorization.

3480787036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3480787036800 in words is "three trillion, four hundred eighty billion, seven hundred eighty-seven million, thirty-six thousand, eight hundred".