3376702801920 has 1152 divisors, whose sum is σ = 12910949251200. Its totient is φ = 750973353984.

The previous prime is 3376702801897. The next prime is 3376702801921. The reversal of 3376702801920 is 291082076733.

It is a super-2 number, since 2×3376702801920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3376702801920.

It is not an unprimeable number, because it can be changed into a prime (3376702801921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17140623262 + ... + 17140623458.

It is an arithmetic number, because the mean of its divisors is an integer number (11207421225).

Almost surely, 2^{3376702801920} is an apocalyptic number.

3376702801920 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 3376702801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455474625600).

3376702801920 is an abundant number, since it is smaller than the sum of its proper divisors (9534246449280).

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

3376702801920 is a wasteful number, since it uses less digits than its factorization.

3376702801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 3376702801920 in words is "three trillion, three hundred seventy-six billion, seven hundred two million, eight hundred one thousand, nine hundred twenty".