3442435476480 has 1408 divisors, whose sum is σ = 16426453800960. Its totient is φ = 660260782080.

The previous prime is 3442435476461. The next prime is 3442435476497. The reversal of 3442435476480 is 846745342443.

3442435476480 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 43 + 54 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138365802 + ... + 138390678.

Almost surely, 2^{3442435476480} is an apocalyptic number.

3442435476480 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 3442435476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213226900480).

3442435476480 is an abundant number, since it is smaller than the sum of its proper divisors (12984018324480).

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

3442435476480 is a wasteful number, since it uses less digits than its factorization.

3442435476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24942 (or 24918 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 54.

The spelling of 3442435476480 in words is "three trillion, four hundred forty-two billion, four hundred thirty-five million, four hundred seventy-six thousand, four hundred eighty".