3493254320640 has 1920 divisors, whose sum is σ = 15032117168640. Its totient is φ = 732051800064.

The previous prime is 3493254320597. The next prime is 3493254320671. The reversal of 3493254320640 is 460234523943.

3493254320640 is a `hidden beast` number, since 3 + 49 + 3 + 2 + 543 + 2 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22250027442 + ... + 22250027598.

It is an arithmetic number, because the mean of its divisors is an integer number (7829227692).

Almost surely, 2^{3493254320640} is an apocalyptic number.

3493254320640 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 3493254320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516058584320).

3493254320640 is an abundant number, since it is smaller than the sum of its proper divisors (11538862848000).

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

3493254320640 is a wasteful number, since it uses less digits than its factorization.

3493254320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3493254320640 in words is "three trillion, four hundred ninety-three billion, two hundred fifty-four million, three hundred twenty thousand, six hundred forty".