37829050480 has 80 divisors (see below), whose sum is σ = 96920984160. Its totient is φ = 13642804224.

The previous prime is 37829050433. The next prime is 37829050487. The reversal of 37829050480 is 8405092873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 37829050480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37829050487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378235 + ... + 467674.

It is an arithmetic number, because the mean of its divisors is an integer number (1211512302).

Almost surely, 2^37829050480 is an apocalyptic number.

It is an amenable number.

37829050480 is an abundant number, since it is smaller than the sum of its proper divisors (59091933680).

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

37829050480 is a wasteful number, since it uses less digits than its factorization.

37829050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845978 (or 845972 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 37829050480 in words is "thirty-seven billion, eight hundred twenty-nine million, fifty thousand, four hundred eighty".