3485156400 has 720 divisors, whose sum is σ = 14507071488. Its totient is φ = 764928000.

The previous prime is 3485156393. The next prime is 3485156533. The reversal of 3485156400 is 46515843.

It is a happy number.

3485156400 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 1 + 5 + 640 + 0 = 666.

3485156400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 20869117 + ... + 20869283.

Almost surely, 2^3485156400 is an apocalyptic number.

3485156400 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 3485156400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253535744).

3485156400 is an abundant number, since it is smaller than the sum of its proper divisors (11021915088).

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

3485156400 is a wasteful number, since it uses less digits than its factorization.

3485156400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3485156400 is about 59035.2132205856. The cubic root of 3485156400 is about 1516.1450677218.

The spelling of 3485156400 in words is "three billion, four hundred eighty-five million, one hundred fifty-six thousand, four hundred".