35375034240 has 384 divisors, whose sum is σ = 150346123200. Its totient is φ = 7463632896.

The previous prime is 35375034223. The next prime is 35375034263. The reversal of 35375034240 is 4243057353.

35375034240 is a `hidden beast` number, since 3 + 537 + 50 + 34 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35375034195 and 35375034204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490416 + ... + 557904.

Almost surely, 2^35375034240 is an apocalyptic number.

35375034240 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 35375034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75173061600).

35375034240 is an abundant number, since it is smaller than the sum of its proper divisors (114971088960).

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

35375034240 is a wasteful number, since it uses less digits than its factorization.

35375034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67534 (or 67519 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 35375034240 in words is "thirty-five billion, three hundred seventy-five million, thirty-four thousand, two hundred forty".