3291909390432 has 1152 divisors, whose sum is σ = 11029586061312. Its totient is φ = 959396659200.

The previous prime is 3291909390431. The next prime is 3291909390437. The reversal of 3291909390432 is 2340939091923.

It is a happy number.

3291909390432 is a `hidden beast` number, since 3 + 2 + 91 + 90 + 9 + 39 + 0 + 432 = 666.

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 (3291909390431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31960285293 + ... + 31960285395.

It is an arithmetic number, because the mean of its divisors is an integer number (9574293456).

Almost surely, 2^{3291909390432} is an apocalyptic number.

3291909390432 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 3291909390432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514793030656).

3291909390432 is an abundant number, since it is smaller than the sum of its proper divisors (7737676670880).

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

3291909390432 is a wasteful number, since it uses less digits than its factorization.

3291909390432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 3291909390432 in words is "three trillion, two hundred ninety-one billion, nine hundred nine million, three hundred ninety thousand, four hundred thirty-two".