3677042040 has 128 divisors (see below), whose sum is σ = 12653314560. Its totient is φ = 837379584.

The previous prime is 3677042027. The next prime is 3677042041. The reversal of 3677042040 is 402407763.

It is a junction number, because it is equal to n+sod(n) for n = 3677041992 and 3677042010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677042041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224779 + ... + 240581.

It is an arithmetic number, because the mean of its divisors is an integer number (98854020).

Almost surely, 2^3677042040 is an apocalyptic number.

3677042040 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 3677042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326657280).

3677042040 is an abundant number, since it is smaller than the sum of its proper divisors (8976272520).

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

3677042040 is a wasteful number, since it uses less digits than its factorization.

3677042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16101 (or 16097 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 3677042040 is about 60638.6183879547. The cubic root of 3677042040 is about 1543.4747591488.

It can be divided in two parts, 367 and 7042040, that added together give a palindrome (7042407).

The spelling of 3677042040 in words is "three billion, six hundred seventy-seven million, forty-two thousand, forty".