35350045920 has 288 divisors, whose sum is σ = 142972397568. Its totient is φ = 8079948288.

The previous prime is 35350045883. The next prime is 35350045921. The reversal of 35350045920 is 2954005353.

35350045920 is a `hidden beast` number, since 35 + 35 + 0 + 0 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×35350045920² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35350045921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207217 + ... + 337103.

It is an arithmetic number, because the mean of its divisors is an integer number (496431936).

Almost surely, 2^35350045920 is an apocalyptic number.

35350045920 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 35350045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71486198784).

35350045920 is an abundant number, since it is smaller than the sum of its proper divisors (107622351648).

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

35350045920 is a wasteful number, since it uses less digits than its factorization.

35350045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129924 (or 129904 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 35350045920 in words is "thirty-five billion, three hundred fifty million, forty-five thousand, nine hundred twenty".