3272406078240 has 1152 divisors, whose sum is σ = 12880671777792. Its totient is φ = 779341824000.

The previous prime is 3272406078239. The next prime is 3272406078251. The reversal of 3272406078240 is 428706042723.

3272406078240 is a `hidden beast` number, since 32 + 7 + 2 + 4 + 0 + 607 + 8 + 2 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4357397865 + ... + 4357398615.

It is an arithmetic number, because the mean of its divisors is an integer number (11181138696).

Almost surely, 2^{3272406078240} is an apocalyptic number.

3272406078240 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 3272406078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440335888896).

3272406078240 is an abundant number, since it is smaller than the sum of its proper divisors (9608265699552).

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

3272406078240 is a wasteful number, since it uses less digits than its factorization.

3272406078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 3272406078240 in words is "three trillion, two hundred seventy-two billion, four hundred six million, seventy-eight thousand, two hundred forty".