3858677400 has 96 divisors (see below), whose sum is σ = 12140562240. Its totient is φ = 1013612160.

The previous prime is 3858677359. The next prime is 3858677429. The reversal of 3858677400 is 47768583.

It is a self number, because there is not a number n which added to its sum of digits gives 3858677400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7794 + ... + 88193.

It is an arithmetic number, because the mean of its divisors is an integer number (126464190).

Almost surely, 2^3858677400 is an apocalyptic number.

3858677400 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 3858677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070281120).

3858677400 is an abundant number, since it is smaller than the sum of its proper divisors (8281884840).

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

3858677400 is a wasteful number, since it uses less digits than its factorization.

3858677400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96073 (or 96064 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 3858677400 is about 62118.2533559983. The cubic root of 3858677400 is about 1568.4818244991.

The spelling of 3858677400 in words is "three billion, eight hundred fifty-eight million, six hundred seventy-seven thousand, four hundred".