3720698416512 has 2560 divisors, whose sum is σ = 15764900659200. Its totient is φ = 840614215680.

The previous prime is 3720698416451. The next prime is 3720698416517. The reversal of 3720698416512 is 2156148960273.

It is a happy number.

3720698416512 is a `hidden beast` number, since 3 + 7 + 20 + 6 + 98 + 4 + 16 + 512 = 666.

It is a super-2 number, since 2×3720698416512² (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 not an unprimeable number, because it can be changed into a prime (3720698416517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12119538663 + ... + 12119538969.

It is an arithmetic number, because the mean of its divisors is an integer number (6158164320).

It is a 1-persistent number, because it is pandigital, but 2⋅3720698416512 = 7441396833024 is not.

Almost surely, 2^{3720698416512} is an apocalyptic number.

3720698416512 is a gapful number since it is divisible by the number (32) 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 3720698416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882450329600).

3720698416512 is an abundant number, since it is smaller than the sum of its proper divisors (12044202242688).

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

3720698416512 is a wasteful number, since it uses less digits than its factorization.

3720698416512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3720698416512 in words is "three trillion, seven hundred twenty billion, six hundred ninety-eight million, four hundred sixteen thousand, five hundred twelve".