35434428480 has 1120 divisors, whose sum is σ = 150119608320. Its totient is φ = 7838208000.

The previous prime is 35434428377. The next prime is 35434428487. The reversal of 35434428480 is 8482443453.

It is a happy number.

35434428480 is a `hidden beast` number, since 3 + 54 + 3 + 442 + 84 + 80 = 666.

It is a super-2 number, since 2×35434428480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35434428487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167935575 + ... + 167935785.

Almost surely, 2^35434428480 is an apocalyptic number.

35434428480 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 35434428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75059804160).

35434428480 is an abundant number, since it is smaller than the sum of its proper divisors (114685179840).

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

35434428480 is a wasteful number, since it uses less digits than its factorization.

35434428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 35434428480 in words is "thirty-five billion, four hundred thirty-four million, four hundred twenty-eight thousand, four hundred eighty".