3980777400 has 384 divisors, whose sum is σ = 14641920000. Its totient is φ = 1003570560.

The previous prime is 3980777387. The next prime is 3980777413. The reversal of 3980777400 is 47770893.

It is an interprime number because it is at equal distance from previous prime (3980777387) and next prime (3980777413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8310361 + ... + 8310839.

It is an arithmetic number, because the mean of its divisors is an integer number (38130000).

Almost surely, 2^3980777400 is an apocalyptic number.

3980777400 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 3980777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960000).

3980777400 is an abundant number, since it is smaller than the sum of its proper divisors (10661142600).

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

3980777400 is a wasteful number, since it uses less digits than its factorization.

3980777400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3980777400 is about 63093.4021907204. The cubic root of 3980777400 is about 1584.8541364507.

The spelling of 3980777400 in words is "three billion, nine hundred eighty million, seven hundred seventy-seven thousand, four hundred".