3472077960 has 480 divisors, whose sum is σ = 13416000840. Its totient is φ = 802234368.

The previous prime is 3472077941. The next prime is 3472077979. The reversal of 3472077960 is 697702743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3472077941) and next prime (3472077979).

It can be written as a sum of positive squares in 12 ways, for example, as 35070084 + 3437007876 = 5922^2 + 58626^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9308334 + ... + 9308706.

Almost surely, 2^3472077960 is an apocalyptic number.

3472077960 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 3472077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708000420).

3472077960 is an abundant number, since it is smaller than the sum of its proper divisors (9943922880).

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

3472077960 is a wasteful number, since it uses less digits than its factorization.

3472077960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3472077960 is about 58924.3409806168. The cubic root of 3472077960 is about 1514.2461890546.

The spelling of 3472077960 in words is "three billion, four hundred seventy-two million, seventy-seven thousand, nine hundred sixty".