3479780304000 has 3072 divisors, whose sum is σ = 17331604992000. Its totient is φ = 666372096000.

The previous prime is 3479780303983. The next prime is 3479780304001. The reversal of 3479780304000 is 4030879743.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3479780304001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5621615691 + ... + 5621616309.

It is an arithmetic number, because the mean of its divisors is an integer number (5641798500).

Almost surely, 2^{3479780304000} is an apocalyptic number.

3479780304000 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 3479780304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665802496000).

3479780304000 is an abundant number, since it is smaller than the sum of its proper divisors (13851824688000).

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

3479780304000 is a wasteful number, since it uses less digits than its factorization.

3479780304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3479780304000 in words is "three trillion, four hundred seventy-nine billion, seven hundred eighty million, three hundred four thousand".