3462720408 has 256 divisors, whose sum is σ = 11467008000. Its totient is φ = 947261952.

The previous prime is 3462720407. The next prime is 3462720427. The reversal of 3462720408 is 8040272643.

3462720408 is a `hidden beast` number, since 3 + 4 + 627 + 20 + 4 + 0 + 8 = 666.

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 (3462720407) by changing a digit.

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, 6883885 + ... + 6884387.

It is an arithmetic number, because the mean of its divisors is an integer number (44793000).

Almost surely, 2^3462720408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3462720408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504000).

3462720408 is an abundant number, since it is smaller than the sum of its proper divisors (8004287592).

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

3462720408 is a wasteful number, since it uses less digits than its factorization.

3462720408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3462720408 is about 58844.8842976176. The cubic root of 3462720408 is about 1512.8846234273.

The spelling of 3462720408 in words is "three billion, four hundred sixty-two million, seven hundred twenty thousand, four hundred eight".