3498032355840 has 480 divisors, whose sum is σ = 13705511916096. Its totient is φ = 848006184960.

The previous prime is 3498032355827. The next prime is 3498032355901. The reversal of 3498032355840 is 485532308943.

3498032355840 is a `hidden beast` number, since 3 + 4 + 9 + 80 + 3 + 2 + 3 + 558 + 4 + 0 = 666.

3498032355840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 6587284 + ... + 7098476.

Almost surely, 2^{3498032355840} is an apocalyptic number.

3498032355840 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 3498032355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852755958048).

3498032355840 is an abundant number, since it is smaller than the sum of its proper divisors (10207479560256).

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

3498032355840 is an equidigital number, since it uses as much as digits as its factorization.

3498032355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511242 (or 511214 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3498032355840 in words is "three trillion, four hundred ninety-eight billion, thirty-two million, three hundred fifty-five thousand, eight hundred forty".