3337040481840 has 1120 divisors, whose sum is σ = 12777809501184. Its totient is φ = 805207910400.

The previous prime is 3337040481833. The next prime is 3337040481893. The reversal of 3337040481840 is 481840407333.

3337040481840 is a `hidden beast` number, since 33 + 37 + 0 + 404 + 8 + 184 + 0 = 666.

It is a super-2 number, since 2×3337040481840² (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 223 ways as a sum of consecutive naturals, for example, 11791662339 + ... + 11791662621.

Almost surely, 2^{3337040481840} is an apocalyptic number.

3337040481840 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 3337040481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388904750592).

3337040481840 is an abundant number, since it is smaller than the sum of its proper divisors (9440769019344).

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

3337040481840 is a wasteful number, since it uses less digits than its factorization.

3337040481840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3337040481840 in words is "three trillion, three hundred thirty-seven billion, forty million, four hundred eighty-one thousand, eight hundred forty".