35090484000 has 768 divisors, whose sum is σ = 136975587840. Its totient is φ = 7852416000.

The previous prime is 35090483977. The next prime is 35090484017. The reversal of 35090484000 is 48409053.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2699267994 + ... + 2699268006.

It is an arithmetic number, because the mean of its divisors is an integer number (178353630).

Almost surely, 2^35090484000 is an apocalyptic number.

35090484000 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 35090484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68487793920).

35090484000 is an abundant number, since it is smaller than the sum of its proper divisors (101885103840).

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

35090484000 is an equidigital number, since it uses as much as digits as its factorization.

35090484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 35090484000 in words is "thirty-five billion, ninety million, four hundred eighty-four thousand".