3340691988480 has 4032 divisors, whose sum is σ = 16614243030528. Its totient is φ = 610397061120.

The previous prime is 3340691988443. The next prime is 3340691988499. The reversal of 3340691988480 is 848891960433.

3340691988480 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 69 + 1 + 98 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×3340691988480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77690511339 + ... + 77690511381.

Almost surely, 2^{3340691988480} is an apocalyptic number.

3340691988480 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 3340691988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307121515264).

3340691988480 is an abundant number, since it is smaller than the sum of its proper divisors (13273551042048).

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

3340691988480 is a wasteful number, since it uses less digits than its factorization.

3340691988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3340691988480 in words is "three trillion, three hundred forty billion, six hundred ninety-one million, nine hundred eighty-eight thousand, four hundred eighty".