3400378240 has 128 divisors (see below), whose sum is σ = 9466269120. Its totient is φ = 1143767040.

The previous prime is 3400378229. The next prime is 3400378249. The reversal of 3400378240 is 428730043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400378249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230280 + ... + 244600.

Almost surely, 2^3400378240 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 3400378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733134560).

3400378240 is an abundant number, since it is smaller than the sum of its proper divisors (6065890880).

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

3400378240 is a wasteful number, since it uses less digits than its factorization.

3400378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3400378240 is about 58312.7622394961. The cubic root of 3400378240 is about 1503.7503546711.

The spelling of 3400378240 in words is "three billion, four hundred million, three hundred seventy-eight thousand, two hundred forty".