3406055178240 has 1536 divisors, whose sum is σ = 14375820513600. Its totient is φ = 734590402560.

The previous prime is 3406055178191. The next prime is 3406055178257. The reversal of 3406055178240 is 428715506043.

3406055178240 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 0 + 551 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6115000042 + ... + 6115000598.

Almost surely, 2^{3406055178240} is an apocalyptic number.

3406055178240 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 3406055178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187910256800).

3406055178240 is an abundant number, since it is smaller than the sum of its proper divisors (10969765335360).

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

3406055178240 is a wasteful number, since it uses less digits than its factorization.

3406055178240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3406055178240 in words is "three trillion, four hundred six billion, fifty-five million, one hundred seventy-eight thousand, two hundred forty".