3391165440 has 880 divisors, whose sum is σ = 14231104272. Its totient is φ = 764411904.

The previous prime is 3391165411. The next prime is 3391165469. The reversal of 3391165440 is 445611933.

It is an interprime number because it is at equal distance from previous prime (3391165411) and next prime (3391165469).

It can be written as a sum of positive squares in 8 ways, for example, as 40144896 + 3351020544 = 6336^2 + 57888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3391165395 and 3391165404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91653102 + ... + 91653138.

Almost surely, 2^3391165440 is an apocalyptic number.

3391165440 is a gapful number since it is divisible by the number (30) 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 3391165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115552136).

3391165440 is an abundant number, since it is smaller than the sum of its proper divisors (10839938832).

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

3391165440 is a wasteful number, since it uses less digits than its factorization.

3391165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3391165440 is about 58233.7139464761. The cubic root of 3391165440 is about 1502.3910665088.

The spelling of 3391165440 in words is "three billion, three hundred ninety-one million, one hundred sixty-five thousand, four hundred forty".