3950078400 has 420 divisors, whose sum is σ = 15034458120. Its totient is φ = 1016064000.

The previous prime is 3950078369. The next prime is 3950078417. The reversal of 3950078400 is 48700593.

3950078400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3950078400² = 31206238732293120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3757875 + ... + 3758925.

Almost surely, 2^3950078400 is an apocalyptic number.

3950078400 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 3950078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517229060).

3950078400 is an abundant number, since it is smaller than the sum of its proper divisors (11084379720).

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

3950078400 is a wasteful number, since it uses less digits than its factorization.

3950078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3950078400 is about 62849.6491636986. The cubic root of 3950078400 is about 1580.7695871670.

Adding to 3950078400 its reverse (48700593), we get a palindrome (3998778993).

The spelling of 3950078400 in words is "three billion, nine hundred fifty million, seventy-eight thousand, four hundred".