3496212720 has 1200 divisors, whose sum is σ = 16762468800. Its totient is φ = 670602240.

The previous prime is 3496212697. The next prime is 3496212749. The reversal of 3496212720 is 272126943.

3496212720 is a `hidden beast` number, since 3 + 4 + 9 + 621 + 2 + 7 + 20 = 666.

3496212720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 239 ways as a sum of consecutive naturals, for example, 268939434 + ... + 268939446.

It is an arithmetic number, because the mean of its divisors is an integer number (13968724).

Almost surely, 2^3496212720 is an apocalyptic number.

3496212720 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 3496212720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8381234400).

3496212720 is an abundant number, since it is smaller than the sum of its proper divisors (13266256080).

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

3496212720 is a wasteful number, since it uses less digits than its factorization.

3496212720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3496212720 is about 59128.7808093487. The cubic root of 3496212720 is about 1517.7466495903.

The spelling of 3496212720 in words is "three billion, four hundred ninety-six million, two hundred twelve thousand, seven hundred twenty".