3387428950752 has 1152 divisors, whose sum is σ = 12499872473088. Its totient is φ = 844958822400.

The previous prime is 3387428950733. The next prime is 3387428950831. The reversal of 3387428950752 is 2570598247833.

3387428950752 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 42 + 89 + 507 + 5 + 2 = 666.

It is a super-2 number, since 2×3387428950752² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3387428950752.

It is a congruent number.

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, 17195070718 + ... + 17195070914.

It is an arithmetic number, because the mean of its divisors is an integer number (10850583744).

Almost surely, 2^{3387428950752} is an apocalyptic number.

3387428950752 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 3387428950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249936236544).

3387428950752 is an abundant number, since it is smaller than the sum of its proper divisors (9112443522336).

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

3387428950752 is a wasteful number, since it uses less digits than its factorization.

3387428950752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 3387428950752 in words is "three trillion, three hundred eighty-seven billion, four hundred twenty-eight million, nine hundred fifty thousand, seven hundred fifty-two".