35394416640 has 936 divisors, whose sum is σ = 144585566160. Its totient is φ = 8207400960.

The previous prime is 35394416543. The next prime is 35394416657. The reversal of 35394416640 is 4661449353.

35394416640 is a `hidden beast` number, since 3 + 539 + 44 + 16 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1538887669 + ... + 1538887691.

Almost surely, 2^35394416640 is an apocalyptic number.

35394416640 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 35394416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72292783080).

35394416640 is an abundant number, since it is smaller than the sum of its proper divisors (109191149520).

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

35394416640 is a wasteful number, since it uses less digits than its factorization.

35394416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 35394416640 in words is "thirty-five billion, three hundred ninety-four million, four hundred sixteen thousand, six hundred forty".