3761940 has 144 divisors (see below), whose sum is σ = 13281408. Its totient is φ = 778752.

The previous prime is 3761929. The next prime is 3761959. The reversal of 3761940 is 491673.

It is a happy number.

3761940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3761898 and 3761907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70954 + ... + 71006.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

Almost surely, 2^3761940 is an apocalyptic number.

3761940 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 3761940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640704).

3761940 is an abundant number, since it is smaller than the sum of its proper divisors (9519468).

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

3761940 is a wasteful number, since it uses less digits than its factorization.

3761940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 3761940 is about 1939.5721177621. The cubic root of 3761940 is about 155.5263410745.

The spelling of 3761940 in words is "three million, seven hundred sixty-one thousand, nine hundred forty".