3691072473408 has 504 divisors, whose sum is σ = 11643751927080. Its totient is φ = 1158800670720.

The previous prime is 3691072473359. The next prime is 3691072473427. The reversal of 3691072473408 is 8043742701963.

3691072473408 is a `hidden beast` number, since 3 + 69 + 1 + 0 + 72 + 473 + 40 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14526998784 + 3676545474624 = 120528^2 + 1917432^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499262160 + ... + 499269552.

It is an arithmetic number, because the mean of its divisors is an integer number (23102682395).

Almost surely, 2^{3691072473408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3691072473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821875963540).

3691072473408 is an abundant number, since it is smaller than the sum of its proper divisors (7952679453672).

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

3691072473408 is an frugal number, since it uses more digits than its factorization.

3691072473408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3691072473408 in words is "three trillion, six hundred ninety-one billion, seventy-two million, four hundred seventy-three thousand, four hundred eight".