3397561440 has 192 divisors, whose sum is σ = 13172253696. Its totient is φ = 716838912.

The previous prime is 3397561421. The next prime is 3397561441. The reversal of 3397561440 is 441657933.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3397561392 and 3397561401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3397561441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4789 + ... + 82571.

It is an arithmetic number, because the mean of its divisors is an integer number (68605488).

Almost surely, 2^3397561440 is an apocalyptic number.

3397561440 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 3397561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586126848).

3397561440 is an abundant number, since it is smaller than the sum of its proper divisors (9774692256).

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

3397561440 is a wasteful number, since it uses less digits than its factorization.

3397561440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77821 (or 77813 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3397561440 is about 58288.6047182466. The cubic root of 3397561440 is about 1503.3350151761.

The spelling of 3397561440 in words is "three billion, three hundred ninety-seven million, five hundred sixty-one thousand, four hundred forty".