3430472760 has 384 divisors, whose sum is σ = 13459642560. Its totient is φ = 746496000.

The previous prime is 3430472719. The next prime is 3430472761. The reversal of 3430472760 is 672740343.

It is a happy number.

3430472760 is a `hidden beast` number, since 343 + 0 + 47 + 276 + 0 = 666.

3430472760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430472761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903860 + ... + 1905660.

Almost surely, 2^3430472760 is an apocalyptic number.

3430472760 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 3430472760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729821280).

3430472760 is an abundant number, since it is smaller than the sum of its proper divisors (10029169800).

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

3430472760 is a wasteful number, since it uses less digits than its factorization.

3430472760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3430472760 is about 58570.2378345863. The cubic root of 3430472760 is about 1508.1735676313.

The spelling of 3430472760 in words is "three billion, four hundred thirty million, four hundred seventy-two thousand, seven hundred sixty".