35378868437408 has 96 divisors (see below), whose sum is σ = 73764455587200. Its totient is φ = 16656435219456.

The previous prime is 35378868437383. The next prime is 35378868437441. The reversal of 35378868437408 is 80473486887353.

It is a super-2 number, since 2×35378868437408² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354735773 + ... + 354835491.

It is an arithmetic number, because the mean of its divisors is an integer number (768379745700).

Almost surely, 2^{35378868437408} is an apocalyptic number.

35378868437408 is a gapful number since it is divisible by the number (38) 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 35378868437408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36882227793600).

35378868437408 is an abundant number, since it is smaller than the sum of its proper divisors (38385587149792).

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

35378868437408 is a wasteful number, since it uses less digits than its factorization.

35378868437408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103294 (or 103286 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 74.

The spelling of 35378868437408 in words is "thirty-five trillion, three hundred seventy-eight billion, eight hundred sixty-eight million, four hundred thirty-seven thousand, four hundred eight".