3909234480480 has 1440 divisors, whose sum is σ = 17542509126912. Its totient is φ = 813780172800.

The previous prime is 3909234480457. The next prime is 3909234480493. The reversal of 3909234480480 is 840844329093.

3909234480480 is a `hidden beast` number, since 3 + 9 + 0 + 92 + 34 + 48 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3909234480480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 334660240 + ... + 334671920.

Almost surely, 2^{3909234480480} is an apocalyptic number.

3909234480480 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 3909234480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8771254563456).

3909234480480 is an abundant number, since it is smaller than the sum of its proper divisors (13633274646432).

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

3909234480480 is a wasteful number, since it uses less digits than its factorization.

3909234480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11770 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3909234480480 in words is "three trillion, nine hundred nine billion, two hundred thirty-four million, four hundred eighty thousand, four hundred eighty".