3370479085440 has 768 divisors, whose sum is σ = 12261406536000. Its totient is φ = 874966745088.

The previous prime is 3370479085433. The next prime is 3370479085507. The reversal of 3370479085440 is 445809740733.

3370479085440 is a `hidden beast` number, since 3 + 3 + 7 + 0 + 4 + 7 + 90 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×3370479085440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8240779956 + ... + 8240780364.

Almost surely, 2^{3370479085440} is an apocalyptic number.

3370479085440 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 3370479085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130703268000).

3370479085440 is an abundant number, since it is smaller than the sum of its proper divisors (8890927450560).

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

3370479085440 is a wasteful number, since it uses less digits than its factorization.

3370479085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3370479085440 in words is "three trillion, three hundred seventy billion, four hundred seventy-nine million, eighty-five thousand, four hundred forty".