3412878038496 has 288 divisors, whose sum is σ = 9993485279232. Its totient is φ = 1104446638080.

The previous prime is 3412878038477. The next prime is 3412878038501. The reversal of 3412878038496 is 6948308782143.

3412878038496 is a `hidden beast` number, since 3 + 4 + 12 + 87 + 80 + 384 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493829281 + ... + 493836191.

It is an arithmetic number, because the mean of its divisors is an integer number (34699601664).

Almost surely, 2^{3412878038496} is an apocalyptic number.

3412878038496 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 3412878038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996742639616).

3412878038496 is an abundant number, since it is smaller than the sum of its proper divisors (6580607240736).

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

3412878038496 is a wasteful number, since it uses less digits than its factorization.

3412878038496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3412878038496 in words is "three trillion, four hundred twelve billion, eight hundred seventy-eight million, thirty-eight thousand, four hundred ninety-six".