35397098440704 has 3072 divisors, whose sum is σ = 148643389440000. Its totient is φ = 8193540096000.

The previous prime is 35397098440699. The next prime is 35397098440721. The reversal of 35397098440704 is 40704489079353.

35397098440704 is a `hidden beast` number, since 3 + 5 + 39 + 7 + 0 + 98 + 440 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84078618414 + ... + 84078618834.

It is an arithmetic number, because the mean of its divisors is an integer number (48386520000).

Almost surely, 2^{35397098440704} 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 35397098440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74321694720000).

35397098440704 is an abundant number, since it is smaller than the sum of its proper divisors (113246290999296).

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

35397098440704 is a wasteful number, since it uses less digits than its factorization.

35397098440704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 35397098440704 in words is "thirty-five trillion, three hundred ninety-seven billion, ninety-eight million, four hundred forty thousand, seven hundred four".