35005748400 has 480 divisors, whose sum is σ = 144367109120. Its totient is φ = 7890462720.

The previous prime is 35005748387. The next prime is 35005748461. The reversal of 35005748400 is 484750053.

35005748400 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 574 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5515629 + ... + 5521971.

Almost surely, 2^35005748400 is an apocalyptic number.

35005748400 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 35005748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72183554560).

35005748400 is an abundant number, since it is smaller than the sum of its proper divisors (109361360720).

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

35005748400 is a wasteful number, since it uses less digits than its factorization.

35005748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 35005748400 in words is "thirty-five billion, five million, seven hundred forty-eight thousand, four hundred".