3400361280 has 168 divisors, whose sum is σ = 11917036872. Its totient is φ = 889614336.

The previous prime is 3400361207. The next prime is 3400361329. The reversal of 3400361280 is 821630043.

It is a happy number.

3400361280 is a `hidden beast` number, since 3 + 40 + 0 + 3 + 612 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1146770496 + 2253590784 = 33864^2 + 47472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141502 + ... + 163778.

Almost surely, 2^3400361280 is an apocalyptic number.

3400361280 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 3400361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958518436).

3400361280 is an abundant number, since it is smaller than the sum of its proper divisors (8516675592).

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

3400361280 is a wasteful number, since it uses less digits than its factorization.

3400361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22353 (or 22340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3400361280 is about 58312.6168166032. The cubic root of 3400361280 is about 1503.7478545915.

The spelling of 3400361280 in words is "three billion, four hundred million, three hundred sixty-one thousand, two hundred eighty".