3192787898496 has 1152 divisors, whose sum is σ = 11832959779200. Its totient is φ = 843426017280.

The previous prime is 3192787898491. The next prime is 3192787898533. The reversal of 3192787898496 is 6948987872913.

3192787898496 is a `hidden beast` number, since 3 + 19 + 27 + 8 + 7 + 8 + 98 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×3192787898496⁴ (a number of 51 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3192787898491) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3743010006 + ... + 3743010858.

It is an arithmetic number, because the mean of its divisors is an integer number (10271666475).

Almost surely, 2^{3192787898496} is an apocalyptic number.

3192787898496 is a gapful number since it is divisible by the number (36) 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 3192787898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916479889600).

3192787898496 is an abundant number, since it is smaller than the sum of its proper divisors (8640171880704).

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

3192787898496 is a wasteful number, since it uses less digits than its factorization.

3192787898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 919 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 81.

The spelling of 3192787898496 in words is "three trillion, one hundred ninety-two billion, seven hundred eighty-seven million, eight hundred ninety-eight thousand, four hundred ninety-six".