3370144661520 has 1920 divisors, whose sum is σ = 14149344384000. Its totient is φ = 658517852160.

The previous prime is 3370144661501. The next prime is 3370144661531. The reversal of 3370144661520 is 251664410733.

It is a super-2 number, since 2×3370144661520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29824288984 + ... + 29824289096.

It is an arithmetic number, because the mean of its divisors is an integer number (7369450200).

Almost surely, 2^{3370144661520} is an apocalyptic number.

3370144661520 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 3370144661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074672192000).

3370144661520 is an abundant number, since it is smaller than the sum of its proper divisors (10779199722480).

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

3370144661520 is a wasteful number, since it uses less digits than its factorization.

3370144661520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3370144661520 in words is "three trillion, three hundred seventy billion, one hundred forty-four million, six hundred sixty-one thousand, five hundred twenty".