35480319840 has 360 divisors, whose sum is σ = 145661991552. Its totient is φ = 8109642240.

The previous prime is 35480319811. The next prime is 35480319859. The reversal of 35480319840 is 4891308453.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 607105 + ... + 662975.

Almost surely, 2^35480319840 is an apocalyptic number.

35480319840 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 35480319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72830995776).

35480319840 is an abundant number, since it is smaller than the sum of its proper divisors (110181671712).

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

35480319840 is a wasteful number, since it uses less digits than its factorization.

35480319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55912 (or 55888 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 35480319840 in words is "thirty-five billion, four hundred eighty million, three hundred nineteen thousand, eight hundred forty".