3490020140400 has 420 divisors, whose sum is σ = 12593232807408. Its totient is φ = 929056573440.

The previous prime is 3490020140339. The next prime is 3490020140419. The reversal of 3490020140400 is 40410200943.

3490020140400 is a `hidden beast` number, since 34 + 90 + 0 + 2 + 0 + 140 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 172908709 + ... + 172928891.

Almost surely, 2^{3490020140400} is an apocalyptic number.

3490020140400 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 3490020140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296616403704).

3490020140400 is an abundant number, since it is smaller than the sum of its proper divisors (9103212667008).

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

3490020140400 is a wasteful number, since it uses less digits than its factorization.

3490020140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20786 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 3490020140400 in words is "three trillion, four hundred ninety billion, twenty million, one hundred forty thousand, four hundred".