3231400994640 has 1920 divisors, whose sum is σ = 14714364887040. Its totient is φ = 639974006784.

The previous prime is 3231400994639. The next prime is 3231400994651. The reversal of 3231400994640 is 464990041323.

3231400994640 is a `hidden beast` number, since 3 + 231 + 400 + 9 + 9 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4268693142 + ... + 4268693898.

It is an arithmetic number, because the mean of its divisors is an integer number (7663731712).

Almost surely, 2^{3231400994640} is an apocalyptic number.

3231400994640 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 3231400994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357182443520).

3231400994640 is an abundant number, since it is smaller than the sum of its proper divisors (11482963892400).

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

3231400994640 is a wasteful number, since it uses less digits than its factorization.

3231400994640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3231400994640 in words is "three trillion, two hundred thirty-one billion, four hundred million, nine hundred ninety-four thousand, six hundred forty".