35742154752 has 216 divisors, whose sum is σ = 105916257720. Its totient is φ = 11607736320.

The previous prime is 35742154691. The next prime is 35742154753. The reversal of 35742154752 is 25745124753.

35742154752 is a `hidden beast` number, since 3 + 57 + 4 + 2 + 1 + 547 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 35742154698 and 35742154707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35742154753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48365199 + ... + 48365937.

It is an arithmetic number, because the mean of its divisors is an integer number (490353045).

Almost surely, 2^35742154752 is an apocalyptic number.

35742154752 is a gapful number since it is divisible by the number (32) 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 35742154752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52958128860).

35742154752 is an abundant number, since it is smaller than the sum of its proper divisors (70174102968).

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

35742154752 is an frugal number, since it uses more digits than its factorization.

35742154752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 785 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The spelling of 35742154752 in words is "thirty-five billion, seven hundred forty-two million, one hundred fifty-four thousand, seven hundred fifty-two".