35378400 has 72 divisors (see below), whose sum is σ = 115164504. Its totient is φ = 9433600.

The previous prime is 35378351. The next prime is 35378407. The reversal of 35378400 is 487353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35378407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4971 + ... + 9770.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^35378400 is an apocalyptic number.

35378400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35378400 is an abundant number, since it is smaller than the sum of its proper divisors (79786104).

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

35378400 is a wasteful number, since it uses less digits than its factorization.

35378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14751 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 35378400 is about 5947.9744451368. The cubic root of 35378400 is about 328.2812380665.

It can be divided in two parts, 35378 and 400, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 35378400 in words is "thirty-five million, three hundred seventy-eight thousand, four hundred".