35380861483968 has 1344 divisors, whose sum is σ = 144481192611840. Its totient is φ = 8343685324800.

The previous prime is 35380861483951. The next prime is 35380861484027. The reversal of 35380861483968 is 86938416808353.

It is a happy number.

35380861483968 is a `hidden beast` number, since 3 + 5 + 3 + 8 + 0 + 86 + 1 + 483 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 35380861483896 and 35380861483905.

It is a congruent number.

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, 738569905 + ... + 738617807.

It is an arithmetic number, because the mean of its divisors is an integer number (107500887360).

Almost surely, 2^{35380861483968} 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 35380861483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72240596305920).

35380861483968 is an abundant number, since it is smaller than the sum of its proper divisors (109100331127872).

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

35380861483968 is a wasteful number, since it uses less digits than its factorization.

35380861483968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48023 (or 48000 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 35380861483968 in words is "thirty-five trillion, three hundred eighty billion, eight hundred sixty-one million, four hundred eighty-three thousand, nine hundred sixty-eight".