35408793420 has 288 divisors, whose sum is σ = 144211092480. Its totient is φ = 6791662080.

The previous prime is 35408793389. The next prime is 35408793437. The reversal of 35408793420 is 2439780453.

35408793420 is a `hidden beast` number, since 3 + 540 + 8 + 79 + 34 + 2 + 0 = 666.

35408793420 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81921 + ... + 278439.

It is an arithmetic number, because the mean of its divisors is an integer number (500732960).

Almost surely, 2^35408793420 is an apocalyptic number.

35408793420 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 35408793420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72105546240).

35408793420 is an abundant number, since it is smaller than the sum of its proper divisors (108802299060).

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

35408793420 is a wasteful number, since it uses less digits than its factorization.

35408793420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196565 (or 196560 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 35408 and 793420, that added together give a palindrome (828828).

The spelling of 35408793420 in words is "thirty-five billion, four hundred eight million, seven hundred ninety-three thousand, four hundred twenty".