35741998080 has 528 divisors, whose sum is σ = 129490403328. Its totient is φ = 9105408000.

The previous prime is 35741998001. The next prime is 35741998087. The reversal of 35741998080 is 8089914753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35741998087) 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, 187130785 + ... + 187130975.

It is an arithmetic number, because the mean of its divisors is an integer number (245246976).

Almost surely, 2^35741998080 is an apocalyptic number.

35741998080 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 35741998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745201664).

35741998080 is an abundant number, since it is smaller than the sum of its proper divisors (93748405248).

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

35741998080 is a wasteful number, since it uses less digits than its factorization.

35741998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 35741998080 in words is "thirty-five billion, seven hundred forty-one million, nine hundred ninety-eight thousand, eighty".