3321431879040 has 2880 divisors, whose sum is σ = 14669960382000. Its totient is φ = 712754380800.

The previous prime is 3321431878931. The next prime is 3321431879047. The reversal of 3321431879040 is 409781341233.

3321431879040 is a `hidden beast` number, since 3 + 321 + 4 + 318 + 7 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3321431879040² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321431879047) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 107142963825 + ... + 107142963855.

Almost surely, 2^{3321431879040} is an apocalyptic number.

3321431879040 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 3321431879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334980191000).

3321431879040 is an abundant number, since it is smaller than the sum of its proper divisors (11348528502960).

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

3321431879040 is a wasteful number, since it uses less digits than its factorization.

3321431879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3321431879040 in words is "three trillion, three hundred twenty-one billion, four hundred thirty-one million, eight hundred seventy-nine thousand, forty".