3387105072 has 240 divisors, whose sum is σ = 11146786560. Its totient is φ = 987054336.

The previous prime is 3387105061. The next prime is 3387105103. The reversal of 3387105072 is 2705017833.

3387105072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3387105072² = 22944961537536250368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 958573 + ... + 962099.

It is an arithmetic number, because the mean of its divisors is an integer number (46444944).

Almost surely, 2^3387105072 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 3387105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573393280).

3387105072 is an abundant number, since it is smaller than the sum of its proper divisors (7759681488).

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

3387105072 is a wasteful number, since it uses less digits than its factorization.

3387105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3387105072 is about 58198.8408131983. The cubic root of 3387105072 is about 1501.7912042069.

The spelling of 3387105072 in words is "three billion, three hundred eighty-seven million, one hundred five thousand, seventy-two".