35479488240 has 640 divisors, whose sum is σ = 149510430720. Its totient is φ = 7548567552.

The previous prime is 35479488229. The next prime is 35479488283. The reversal of 35479488240 is 4288497453.

35479488240 is a `hidden beast` number, since 3 + 54 + 79 + 488 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 24932169 + ... + 24933591.

It is an arithmetic number, because the mean of its divisors is an integer number (233610048).

Almost surely, 2^35479488240 is an apocalyptic number.

35479488240 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 35479488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74755215360).

35479488240 is an abundant number, since it is smaller than the sum of its proper divisors (114030942480).

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

35479488240 is a wasteful number, since it uses less digits than its factorization.

35479488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 35479488240 in words is "thirty-five billion, four hundred seventy-nine million, four hundred eighty-eight thousand, two hundred forty".