35380799460 has 192 divisors, whose sum is σ = 116896147200. Its totient is φ = 8858916864.

The previous prime is 35380799417. The next prime is 35380799533. The reversal of 35380799460 is 6499708353.

35380799460 is a `hidden beast` number, since 35 + 3 + 80 + 79 + 9 + 460 = 666.

35380799460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 35380799397 and 35380799406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144122 + ... + 1174638.

It is an arithmetic number, because the mean of its divisors is an integer number (608834100).

Almost surely, 2^35380799460 is an apocalyptic number.

35380799460 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 35380799460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58448073600).

35380799460 is an abundant number, since it is smaller than the sum of its proper divisors (81515347740).

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

35380799460 is a wasteful number, since it uses less digits than its factorization.

35380799460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30667 (or 30659 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 35380799460 in words is "thirty-five billion, three hundred eighty million, seven hundred ninety-nine thousand, four hundred sixty".