35780429412 has 288 divisors, whose sum is σ = 117646663680. Its totient is φ = 8910570240.

The previous prime is 35780429371. The next prime is 35780429417. The reversal of 35780429412 is 21492408753.

35780429412 is a `hidden beast` number, since 357 + 8 + 0 + 4 + 294 + 1 + 2 = 666.

It is a super-6 number, since 6×35780429412⁶ (a number of 65 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35780429417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5949487 + ... + 5955497.

It is an arithmetic number, because the mean of its divisors is an integer number (408495360).

Almost surely, 2^35780429412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35780429412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58823331840).

35780429412 is an abundant number, since it is smaller than the sum of its proper divisors (81866234268).

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

35780429412 is a wasteful number, since it uses less digits than its factorization.

35780429412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 35780429412 in words is "thirty-five billion, seven hundred eighty million, four hundred twenty-nine thousand, four hundred twelve".