30742992000 has 576 divisors, whose sum is σ = 128460678840. Its totient is φ = 7025356800.

The previous prime is 30742991987. The next prime is 30742992043. The reversal of 30742992000 is 29924703.

It can be written as a sum of positive squares in 4 ways, for example, as 20343887424 + 10399104576 = 142632^2 + 101976^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×30742992000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7053822 + ... + 7058178.

Almost surely, 2^30742992000 is an apocalyptic number.

30742992000 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 30742992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64230339420).

30742992000 is an abundant number, since it is smaller than the sum of its proper divisors (97717686840).

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

30742992000 is a wasteful number, since it uses less digits than its factorization.

30742992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 30742992000 in words is "thirty billion, seven hundred forty-two million, nine hundred ninety-two thousand".