35742228480 has 1008 divisors, whose sum is σ = 154776098880. Its totient is φ = 7739670528.

The previous prime is 35742228469. The next prime is 35742228517. The reversal of 35742228480 is 8482224753.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×35742228480² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1881169911 + ... + 1881169929.

Almost surely, 2^35742228480 is an apocalyptic number.

35742228480 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 35742228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77388049440).

35742228480 is an abundant number, since it is smaller than the sum of its proper divisors (119033870400).

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

35742228480 is an frugal number, since it uses more digits than its factorization.

35742228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 35742228480 in words is "thirty-five billion, seven hundred forty-two million, two hundred twenty-eight thousand, four hundred eighty".