3384507520152 has 256 divisors, whose sum is σ = 10867115520000. Its totient is φ = 964591073280.

The previous prime is 3384507520129. The next prime is 3384507520223. The reversal of 3384507520152 is 2510257054833.

3384507520152 is a `hidden beast` number, since 3 + 3 + 84 + 507 + 52 + 0 + 15 + 2 = 666.

It is a super-2 number, since 2×3384507520152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3384507520098 and 3384507520107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58094974 + ... + 58153202.

It is an arithmetic number, because the mean of its divisors is an integer number (42449670000).

Almost surely, 2^{3384507520152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3384507520152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433557760000).

3384507520152 is an abundant number, since it is smaller than the sum of its proper divisors (7482607999848).

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

3384507520152 is a wasteful number, since it uses less digits than its factorization.

3384507520152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59711 (or 59701 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 3384507520152 in words is "three trillion, three hundred eighty-four billion, five hundred seven million, five hundred twenty thousand, one hundred fifty-two".