3234978819072 has 1760 divisors, whose sum is σ = 13262390507520. Its totient is φ = 758201057280.

The previous prime is 3234978819031. The next prime is 3234978819101. The reversal of 3234978819072 is 2709188794323.

3234978819072 is a `hidden beast` number, since 32 + 349 + 7 + 8 + 8 + 190 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3902265954 + ... + 3902266782.

It is an arithmetic number, because the mean of its divisors is an integer number (7535449152).

Almost surely, 2^{3234978819072} is an apocalyptic number.

3234978819072 is a gapful number since it is divisible by the number (32) 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 3234978819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631195253760).

3234978819072 is an abundant number, since it is smaller than the sum of its proper divisors (10027411688448).

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

3234978819072 is a wasteful number, since it uses less digits than its factorization.

3234978819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 3234978819072 in words is "three trillion, two hundred thirty-four billion, nine hundred seventy-eight million, eight hundred nineteen thousand, seventy-two".