3480212736 has 576 divisors, whose sum is σ = 13845565440. Its totient is φ = 832757760.

The previous prime is 3480212683. The next prime is 3480212779. The reversal of 3480212736 is 6372120843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3480212736² = 24223761375633211392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3480212736.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6918661 + ... + 6919163.

It is an arithmetic number, because the mean of its divisors is an integer number (24037440).

Almost surely, 2^3480212736 is an apocalyptic number.

3480212736 is a gapful number since it is divisible by the number (36) 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 3480212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922782720).

3480212736 is an abundant number, since it is smaller than the sum of its proper divisors (10365352704).

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

3480212736 is a wasteful number, since it uses less digits than its factorization.

3480212736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3480212736 is about 58993.3278939237. The cubic root of 3480212736 is about 1515.4278489673.

The spelling of 3480212736 in words is "three billion, four hundred eighty million, two hundred twelve thousand, seven hundred thirty-six".