3491720593920 has 1280 divisors, whose sum is σ = 13724976545280. Its totient is φ = 836117987328.

The previous prime is 3491720593913. The next prime is 3491720593927. The reversal of 3491720593920 is 293950271943.

3491720593920 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 7 + 20 + 593 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3491720593913) and next prime (3491720593927).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3491720593920² (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 not an unprimeable number, because it can be changed into a prime (3491720593927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7476917527 + ... + 7476917993.

It is an arithmetic number, because the mean of its divisors is an integer number (10722637926).

Almost surely, 2^{3491720593920} is an apocalyptic number.

3491720593920 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 3491720593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862488272640).

3491720593920 is an abundant number, since it is smaller than the sum of its proper divisors (10233255951360).

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

3491720593920 is a wasteful number, since it uses less digits than its factorization.

3491720593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 3491720593920 in words is "three trillion, four hundred ninety-one billion, seven hundred twenty million, five hundred ninety-three thousand, nine hundred twenty".