29838378240 has 1296 divisors, whose sum is σ = 130345225920. Its totient is φ = 6449725440.

The previous prime is 29838378181. The next prime is 29838378263. The reversal of 29838378240 is 4287383892.

29838378240 is a `hidden beast` number, since 29 + 8 + 3 + 8 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1570440951 + ... + 1570440969.

It is an arithmetic number, because the mean of its divisors is an integer number (100575020).

Almost surely, 2^29838378240 is an apocalyptic number.

29838378240 is a gapful number since it is divisible by the number (20) 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 29838378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65172612960).

29838378240 is an abundant number, since it is smaller than the sum of its proper divisors (100506847680).

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

29838378240 is an equidigital number, since it uses as much as digits as its factorization.

29838378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 29838378240 in words is "twenty-nine billion, eight hundred thirty-eight million, three hundred seventy-eight thousand, two hundred forty".