3478210424640 has 1120 divisors, whose sum is σ = 15201734676480. Its totient is φ = 737117024256.

The previous prime is 3478210424639. The next prime is 3478210424653. The reversal of 3478210424640 is 464240128743.

3478210424640 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 210 + 424 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 162015187 + ... + 162036653.

Almost surely, 2^{3478210424640} is an apocalyptic number.

3478210424640 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 3478210424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600867338240).

3478210424640 is an abundant number, since it is smaller than the sum of its proper divisors (11723524251840).

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

3478210424640 is a wasteful number, since it uses less digits than its factorization.

3478210424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569 (or 21550 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 3478210424640 in words is "three trillion, four hundred seventy-eight billion, two hundred ten million, four hundred twenty-four thousand, six hundred forty".