3761484090 has 128 divisors (see below), whose sum is σ = 11764569600. Its totient is φ = 746938368.

The previous prime is 3761484061. The next prime is 3761484113. The reversal of 3761484090 is 904841673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5886 + ... + 86934.

It is an arithmetic number, because the mean of its divisors is an integer number (91910700).

Almost surely, 2^3761484090 is an apocalyptic number.

3761484090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3761484090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882284800).

3761484090 is an abundant number, since it is smaller than the sum of its proper divisors (8003085510).

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

3761484090 is a wasteful number, since it uses less digits than its factorization.

3761484090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81096.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3761484090 is about 61330.9390927613. The cubic root of 3761484090 is about 1555.2005806815.

The spelling of 3761484090 in words is "three billion, seven hundred sixty-one million, four hundred eighty-four thousand, ninety".