3430287360 has 384 divisors, whose sum is σ = 12855024000. Its totient is φ = 865271808.

The previous prime is 3430287347. The next prime is 3430287389. The reversal of 3430287360 is 637820343.

3430287360 is a `hidden beast` number, since 343 + 0 + 287 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5252794 + ... + 5253446.

It is an arithmetic number, because the mean of its divisors is an integer number (33476625).

Almost surely, 2^3430287360 is an apocalyptic number.

3430287360 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 3430287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427512000).

3430287360 is an abundant number, since it is smaller than the sum of its proper divisors (9424736640).

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

3430287360 is a wasteful number, since it uses less digits than its factorization.

3430287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3430287360 is about 58568.6550980983. The cubic root of 3430287360 is about 1508.1463973804.

The spelling of 3430287360 in words is "three billion, four hundred thirty million, two hundred eighty-seven thousand, three hundred sixty".