3498629750784 has 672 divisors, whose sum is σ = 12488134414080. Its totient is φ = 921307447296.

The previous prime is 3498629750753. The next prime is 3498629750809. The reversal of 3498629750784 is 4870579268943.

3498629750784 is a `hidden beast` number, since 3 + 4 + 98 + 6 + 29 + 7 + 507 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3498629750784² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 362810667 + ... + 362820309.

Almost surely, 2^{3498629750784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3498629750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244067207040).

3498629750784 is an abundant number, since it is smaller than the sum of its proper divisors (8989504663296).

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

3498629750784 is a wasteful number, since it uses less digits than its factorization.

3498629750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9738 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 3498629750784 in words is "three trillion, four hundred ninety-eight billion, six hundred twenty-nine million, seven hundred fifty thousand, seven hundred eighty-four".