35245214400 has 672 divisors, whose sum is σ = 132724647936. Its totient is φ = 8110080000.

The previous prime is 35245214359. The next prime is 35245214497. The reversal of 35245214400 is 441254253.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 99844624 + ... + 99844976.

Almost surely, 2^35245214400 is an apocalyptic number.

35245214400 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 35245214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66362323968).

35245214400 is an abundant number, since it is smaller than the sum of its proper divisors (97479433536).

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

35245214400 is a wasteful number, since it uses less digits than its factorization.

35245214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 35245214400 its reverse (441254253), we get a palindrome (35686468653).

The spelling of 35245214400 in words is "thirty-five billion, two hundred forty-five million, two hundred fourteen thousand, four hundred".