3370588416 has 144 divisors (see below), whose sum is σ = 10734433920. Its totient is φ = 1037076480.

The previous prime is 3370588399. The next prime is 3370588433. The reversal of 3370588416 is 6148850733.

It is an interprime number because it is at equal distance from previous prime (3370588399) and next prime (3370588433).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3370588416² = 22721732540146778112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71101 + ... + 108611.

It is an arithmetic number, because the mean of its divisors is an integer number (74544680).

Almost surely, 2^3370588416 is an apocalyptic number.

3370588416 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 3370588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367216960).

3370588416 is an abundant number, since it is smaller than the sum of its proper divisors (7363845504).

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

3370588416 is a wasteful number, since it uses less digits than its factorization.

3370588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37549 (or 37529 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3370588416 is about 58056.7689076821. The cubic root of 3370588416 is about 1499.3461470256.

The spelling of 3370588416 in words is "three billion, three hundred seventy million, five hundred eighty-eight thousand, four hundred sixteen".