30374403840 has 360 divisors, whose sum is σ = 118570093488. Its totient is φ = 7363215360.

The previous prime is 30374403823. The next prime is 30374403869. The reversal of 30374403840 is 4830447303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30374403795 and 30374403804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1127164 + ... + 1153796.

Almost surely, 2^30374403840 is an apocalyptic number.

30374403840 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 30374403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59285046744).

30374403840 is an abundant number, since it is smaller than the sum of its proper divisors (88195689648).

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

30374403840 is a wasteful number, since it uses less digits than its factorization.

30374403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26677 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 30374403840 in words is "thirty billion, three hundred seventy-four million, four hundred three thousand, eight hundred forty".